Left-distributive quasi-groups
نویسندگان
چکیده
منابع مشابه
Braid Groups and Left Distributive Operations
An extension of the infinite braid group B∞ exactly describes the left distributivity identities. These identities form a decidable family. The group B∞ is closely connected with the free left distributive structure with one generator, and inherits some order properties with simple topological meaning. A quick comparison algorithm for braid words is also given. The first aim of this paper is to...
متن کاملLeft Distributive Left Quasigroups
Acknowledgement I wish to thank to everybody I learned anything from during past twenty six years. Above all, to my advisor, Jaroslav Ježek, for his support and insightful advices. To my inofficial coadvisor, Ralph McKenzie, for numerous inspirative conversations and for financial and other support during my stay at Vanderbilt University in Nashville. To Věra Trnková, Aleš Drápal, Tomáš Kepka, ...
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Groupoids satisfying the equation x(yz) = (xy)(xz) are called left distributive, or LD-groupoids. We give an algorithm for their enumeration and prove several results on the collection of LD-groupoids extending a given monounary algebra.
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We consider algebras with one binary operation and one generator, satisfying the left distributive law a (b c) = (a b) (a c); such algebras have been shown to have surprising connections with set-theoretic large cardinals and with braid groups. One can construct a sequence of nite left-distributive algebras An, and then take a limit to get an in nite left-distributive algebra A1 on one generato...
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Subdirectly irreducible non-idempotent groupoids satisfying x · xy = y and x · yz = xy · xz are studied.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1959
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1959-0108547-9